2y+3=8y-22

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Solution for 2y+3=8y-22 equation:


Simplifying
2y + 3 = 8y + -22

Reorder the terms:
3 + 2y = 8y + -22

Reorder the terms:
3 + 2y = -22 + 8y

Solving
3 + 2y = -22 + 8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8y' to each side of the equation.
3 + 2y + -8y = -22 + 8y + -8y

Combine like terms: 2y + -8y = -6y
3 + -6y = -22 + 8y + -8y

Combine like terms: 8y + -8y = 0
3 + -6y = -22 + 0
3 + -6y = -22

Add '-3' to each side of the equation.
3 + -3 + -6y = -22 + -3

Combine like terms: 3 + -3 = 0
0 + -6y = -22 + -3
-6y = -22 + -3

Combine like terms: -22 + -3 = -25
-6y = -25

Divide each side by '-6'.
y = 4.166666667

Simplifying
y = 4.166666667

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